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Related papers: Reviving Horndeski Theory using Teleparallel Gravi…

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We write down the teleparallel equivalent to Hassan-Rosen bigravity, which is written using a torsionful but curvature-free connection. The theories only differ by a boundary term. The equivalence was proven, both by using perturbation…

General Relativity and Quantum Cosmology · Physics 2023-12-13 Daniel Blixt , Manuel Hohmann , Tomi Koivisto , Luca Marzola

Teleparallel Gravity (TG) describes gravitation as a torsional- rather than curvature-based effect. As in curvature-based constructions of gravity, several different formulations can be proposed, one of which is the Teleparallel equivalent…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Soumya Chakrabarti , Jackson Levi Said

Standard sirens have been proposed as probes of alternative theories of gravity, such as Horndeski models. Hitherto, all studies have been conducted on a homogeneous-isotropic cosmological background, which is unable to consistently account…

General Relativity and Quantum Cosmology · Physics 2020-09-04 Charles Dalang , Pierre Fleury , Lucas Lombriser

The discovery of the accelerated expansion of the universe highlighted General Relativity's inability to naturally account for dark energy without invoking a finely tuned cosmological constant. In response, a wide range of alternative…

General Relativity and Quantum Cosmology · Physics 2025-11-11 P. A. G. Monteiro , C. J. A. P. Martins

We present new cosmological parameter constraints for general Horndeski scalar-tensor theories, using CMB, redshift space distortion, matter power spectrum and BAO measurements from the Planck, SDSS/BOSS and 6dF surveys. We focus on…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-08 Johannes Noller , Andrina Nicola

We study a higher order conformally coupled scalar tensor theory endowed with a covariant geometric constraint relating the scalar curvature with the Gauss-Bonnet scalar. It is a particular Horndeski theory including a canonical kinetic…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Eugeny Babichev , Christos Charmousis , Mokhtar Hassaine , Nicolas Lecoeur

We consider the newly proposed Bahamonde-Dialektopoulos-Levi Said (BDLS) theory, that is the Horndeski analog in the teleparallel framework and thus contains a non-minimally coupled scalar field, including higher order derivatives, that…

General Relativity and Quantum Cosmology · Physics 2020-11-04 Sebastian Bahamonde , Konstantinos F. Dialektopoulos , Manuel Hohmann , Jackson Levi Said

The detection of GW170817 and its electromagnetic counterpart has revealed the speed of gravitational waves coincides with the speed of light, $c_T=1$. Inspired by the possibility that the physics implied by GW170817 might be related with…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Gen Ye , Yun-Song Piao

Symmetric teleparallel gravity offers to reformulate the gravitational formalism without the presence of curvature and torsion with the help of non-metricity tensors. Interestingly, Symmetric teleparallel gravity can be formulated…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Gaurav N. Gadbail , Ameya Kolhatkar , Sanjay Mandal , P. K. Sahoo

In this work a tetrad theory of gravity, invariant under conformal transformations, is investigated. The action of the theory is similar to the action of Maxwell's electromagnetism. The role of the electromagnetic gauge potential is played…

General Relativity and Quantum Cosmology · Physics 2012-06-28 J. W. Maluf , F. F. Faria

Even though it is not possible to differentiate General Relativity from Teleparallel Gravity using classical experiments, it could be possible to discriminate between them by quantum gravitational effects. These effects have motivated the…

General Relativity and Quantum Cosmology · Physics 2017-10-17 Sebastian Bahamonde , Salvatore Capozziello , Mir Faizal , Rafael C. Nunes

Recent anomalies found in cosmological datasets such as the low multipoles of the Cosmic Microwave Background or the low redshift amplitude and growth of clustering measured by e.g., abundance of galaxy clusters and redshift space…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-24 Emilio Bellini , Antonio J. Cuesta , Raul Jimenez , Licia Verde

General Relativity and its higher derivative extensions have symmetric teleparallel reformulations in terms of the non-metricity tensor within a torsion-free and flat geometry. These notes present a derivation of the exact propagator for…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Aindriú Conroy , Tomi Koivisto

In the Horndeski's most general scalar-tensor theories the equations of scalar density perturbations are derived in the presence of non-relativistic matter minimally coupled to gravity. Under a quasi-static approximation on sub-horizon…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Antonio De Felice , Tsutomu Kobayashi , Shinji Tsujikawa

We discuss linear perturbations of the most general class of teleparallel spacetimes with cosmological symmetry, and perform a decomposition of these perturbations into irreducible components. We then study their behavior under gauge…

General Relativity and Quantum Cosmology · Physics 2021-01-12 Manuel Hohmann

We study disformal transformations in the context of scalar extensions to teleparallel gravity, in which the gravitational interaction is mediated by the torsion of a flat, metric compatible connection. We find a generic class of…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Manuel Hohmann

We investigate the cosmological perturbations around all three branches of spatially flat universe with different connections in symmetric teleparallel gravity. The model we consider can cover both the case of f(Q) model and that of the…

General Relativity and Quantum Cosmology · Physics 2023-12-06 Haomin Rao , Chunhui Liu , Chao-Qiang Geng

The tachyonic instability is associated with the unboundedness of the Hamiltonian from below and results in an unstable low-$k$ regime. In the cosmological exploration of modified gravity, it is seldom taken into account, with more focus…

General Relativity and Quantum Cosmology · Physics 2019-02-19 Noemi Frusciante , Georgios Papadomanolakis , Simone Peirone , Alessandra Silvestri

This paper is a pedagogical introduction to models of gravity and how to constrain them through cosmological observations. We focus on the Horndeski scalar-tensor theory and on the quantities that can be measured with a minimum of…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-27 Luca Amendola , Dario Bettoni , Ana Marta Pinho , Santiago Casas

We investigate whether late-time modifications of gravity in the teleparallel framework can impact the current tension in the Hubble constant $H_0$, focusing on $f(T)$ cosmology as a minimal and well-controlled extension of General…

General Relativity and Quantum Cosmology · Physics 2026-03-23 Mariam Bouhmadi-López , Carlos G. Boiza , Maria Petronikolou , Emmanuel N. Saridakis